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Finding the Fourth Proportional to 7,637.49, 10,546.16 and 5,745.80

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Solution

The fourth proportional to 7,637.49, 10,546.16 and 5,745.80 is: 7,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.49 : 10,546.16 = 5,745.80 : x
  2. Step 2: Convert to fraction form
    7,637.49/10,546.16 = 5,745.80/x
  3. Step 3: Cross multiply
    7,637.49x = 10,546.16 × 5,745.80
  4. Step 4: Simplify right side
    7,637.49x = 60,596,126.13
  5. Step 5: Solve for x
    x = 60,596,126.13/7,637.49
  6. Step 6: Final answer
    x = 7,934.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.